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42341704440 = 233571937349
BaseRepresentation
bin100111011011110000…
…110010001011111000
311001021212101110002120
4213123300302023320
51143203434020230
631241305401240
73026160356310
oct473360621370
9131255343076
1042341704440
1116a58874272
128258199220
133cba269ca9
1420995b4440
15117c395310
hex9dbc322f8

42341704440 has 256 divisors, whose sum is σ = 153256320000. Its totient is φ = 9167482368.

The previous prime is 42341704439. The next prime is 42341704451. The reversal of 42341704440 is 4440714324.

It is a Cunningham number, because it is equal to 2057712-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5757886 + ... + 5765234.

It is an arithmetic number, because the mean of its divisors is an integer number (598657500).

Almost surely, 242341704440 is an apocalyptic number.

42341704440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42341704440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76628160000).

42341704440 is an abundant number, since it is smaller than the sum of its proper divisors (110914615560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42341704440 is a wasteful number, since it uses less digits than its factorization.

42341704440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7427 (or 7385 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 33.

The spelling of 42341704440 in words is "forty-two billion, three hundred forty-one million, seven hundred four thousand, four hundred forty".